43. Let \( f(x)=1.125 x^{2}-0.75 x+1 \) and \( g(x)-2 \).
(a) On the interval \( [0,2] \), both functions have the same average rate of change. This is also true for the interval \( [2,4] \).
(b) On the interval \( [4,6] \), however, \( \Delta g / \Delta x \) is more than twice \( \Delta f / \Delta x \). And on the interval \( [6,8], \Delta g / \Delta x \) is more than six times \( \Delta f / \Delta x \).
(c) On the interval \( [10,12] \), the average rate of change of the exponential function is 64 times that of the quadratic function.
4. Let \( g(x)=x^{4} \) and \( h(x)=3^{x} \)
